Will EU 261 apply given that this problem was beyond BA? I was not sure. I am sure BA would claim extraordinary circumstances.
Unfortunately I called the EC last night and rebooked for 6/13 because the agent told me that I am not confirmed on the delayed flight. I should have talked to the ground staff. I told him the ground staff told everyone to call BA. He said he can't help on that.
That change is now in my booking but he we also agreed to change the return flights from 6/22 and 6/23 to 6/26 and 6/27. ATH-LHR, LHR-SFO. That later part is not showing up.
Looks like I have to make another call because we don't want to go to Greece for 1 week.